Date | 2015-04-10 |
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Speaker | 박재석 |

Dept. | IBS, 포항공대 |

Room | 129-301 |

Time | 15:00-16:00 |

A classical algebraic probability space is a unital combative and associative algebra together with a unit preserving linear functional, called expectation, to the ground field. Such a space always come with certain symmetry of expectation, which a resolution leads to the notion of homotopy probability space. We show that there is underlying a formal and Z-graded affinely flat structure (formal based supermanifold which tangent space has torsion-free and flat formal Z-graded affine connection), which flat coordinates determine the law of random variable up to finite ambiguity.

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